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13071109921188 = 2231133372428417
BaseRepresentation
bin1011111000110101101011…
…0111010001100110100100
31201021120211010100210210020
42332031122313101212210
53203124113114434223
643444441320555140
72516233201065024
oct276153267214644
951246733323706
1013071109921188
11418a476873000
121571328322ab0
1373a7a6048467
143329061dda84
1517a02243d1e3
hexbe35add19a4

13071109921188 has 96 divisors (see below), whose sum is σ = 33646450201728. Its totient is φ = 3949187235840.

The previous prime is 13071109921187. The next prime is 13071109921189. The reversal of 13071109921188 is 88112990117031.

It is an interprime number because it is at equal distance from previous prime (13071109921187) and next prime (13071109921189).

It is a self number, because there is not a number n which added to its sum of digits gives 13071109921188.

It is not an unprimeable number, because it can be changed into a prime (13071109921187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4168356 + ... + 6596772.

It is an arithmetic number, because the mean of its divisors is an integer number (350483856268).

Almost surely, 213071109921188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13071109921188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823225100864).

13071109921188 is an abundant number, since it is smaller than the sum of its proper divisors (20575340280540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13071109921188 is a wasteful number, since it uses less digits than its factorization.

13071109921188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428794 (or 2428770 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 51.

The spelling of 13071109921188 in words is "thirteen trillion, seventy-one billion, one hundred nine million, nine hundred twenty-one thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 337 363 484 674 726 1011 1331 1348 1452 2022 2662 3707 3993 4044 5324 7414 7986 11121 14828 15972 22242 40777 44484 81554 122331 163108 244662 448547 489324 897094 1345641 1794188 2428417 2691282 4856834 5382564 7285251 9713668 14570502 26712587 29141004 53425174 80137761 106850348 160275522 293838457 320551044 587676914 818376529 881515371 1175353828 1636753058 1763030742 2455129587 3232223027 3273506116 3526061484 4910259174 6464446054 9002141819 9696669081 9820518348 12928892108 18004283638 19393338162 27006425457 36008567276 38786676324 54012850914 99023560009 108025701828 198047120018 297070680027 396094240036 594141360054 1089259160099 1188282720108 2178518320198 3267777480297 4357036640396 6535554960594 13071109921188